What is the Least Common Multiple of 56496 and 56505?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 56496 and 56505 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56496 and 56505, than apply into the LCM equation.

GCF(56496,56505) = 3
LCM(56496,56505) = ( 56496 × 56505) / 3
LCM(56496,56505) = 3192306480 / 3
LCM(56496,56505) = 1064102160

Least Common Multiple (LCM) of 56496 and 56505 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56496 and 56505. First we will calculate the prime factors of 56496 and 56505.

Prime Factorization of 56496

Prime Factorization of 56505

Now multiplying the highest exponent prime factors to calculate the LCM of 56496 and 56505.

LCM(56496,56505) = 2⁴ × 3¹ × 11¹ × 107¹ × 5¹ × 3767¹
LCM(56496,56505) = 1064102160